Question

The reduced form of the expression A+A.B is *
1) B
2) A
3) AB
4) A+B​

Answer 1

The reduced form of the expression A+A.B :

Explanation:

• A + A.B =A (1+B)
• By Identity property,
• A.1 = A
• So, 2) A is the answer.

Answer 2

Given:

Expression = A+A.B

To find:

The reduced form of A+A.B=?

Solution:

• The given expression is a form of Boolean's law of absorption.
• In this form of expression, the output or result is in the form of a true or false value.
• It means True= 1 and False= 0 according to Boolean laws.
• The reduced form of the given expression can be found in the following steps:

=> A+A.B

=>A (1 + B) (Taking A as common from both terms)

=> 1 + B = 1 (According to Boolean laws and the property of 1's)

∴ A (1)

= A

Hence, the reduced form of the given expression is A (option 2).